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2083808880 = 243252894179
BaseRepresentation
bin111110000110100…
…0110011001110000
312101020001110101200
41330031012121300
513231423341010
6542435131200
7102432040356
oct17415063160
95336043350
102083808880
1197a28a4aa
124a1a43b00
1327293c30a
1415aa737d6
15c2e19cc0
hex7c346670

2083808880 has 60 divisors (see below), whose sum is σ = 6998127240. Its totient is φ = 555682176.

The previous prime is 2083808879. The next prime is 2083808899. The reversal of 2083808880 is 888083802.

2083808880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446370 + ... + 1447809.

It is an arithmetic number, because the mean of its divisors is an integer number (116635454).

Almost surely, 22083808880 is an apocalyptic number.

2083808880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083808880 is an abundant number, since it is smaller than the sum of its proper divisors (4914318360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2083808880 is a wasteful number, since it uses less digits than its factorization.

2083808880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894198 (or 2894189 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2083808880 is about 45648.7555142525. The cubic root of 2083808880 is about 1277.2795575019.

The spelling of 2083808880 in words is "two billion, eighty-three million, eight hundred eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2894179 5788358 8682537 11576716 14470895 17365074 23153432 26047611 28941790 34730148 43412685 46306864 52095222 57883580 69460296 86825370 104190444 115767160 130238055 138920592 173650740 208380888 231534320 260476110 347301480 416761776 520952220 694602960 1041904440 2083808880